Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9499/893,2904/878
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9499,2904
Greatest Common Factor of Numerators i.e. GCF of 9499,2904 is 1 .
LCM of Denominators means LCM of 893,878 as per the given fractions.
LCM of 893,878 is 784054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9499,2904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9499
List of positive integer factors of 9499 that divides 9499 without a remainder.
1,7,23,59,161,413,1357,9499
Factors of 2904
List of positive integer factors of 2904 that divides 2904 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Greatest Common Factor
We found the factors 9499,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 9499,2904 is 1.
Lets's calculate LCM of 893,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 784054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784054
Therefore, the GCF of Fractions 9499/893,2904/878 is 1/784054
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 893,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,878) x common factors =1 x 1 = 1
LCM(893,878) = ( 893 × 878 ) / 1
LCM(893,878) = 784054 / 1
LCM(893,878) = 784054
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 9499/893, 2904/878?
Answer: GCF of Numerators as per given numbers 9499/893, 2904/878 is
GCF of Numerators i.e. for 9499,2904 is 1
LCM of denominators i.e. for 893,878 is 784054.
Thus, GCF of Fractions is 1/784054.Finally, GCF of Fractions for 9499/893, 2904/878 is 1/784054.